Skip to main content
SpringerLink
Log in

Double-Diffusive Buoyancy and Marangoni Convection in a Hybrid Nanofluid Filled Cylindrical Porous Annulus

  • Original Research
  • Published:
Microgravity Science and Technology Aims and scope Submit manuscript

Abstract

This study investigates numerically the combined buoyancy and thermocapillary convection thermal and solutal transfer of Ag/Mgo-water hybrid nanofluid in a cylindrical porous enclosure with the impacts of Soret and Dufour. A discrete heater of finite size is positioned in the centre of the left interior wall. The cylindrical cavity exterior wall is supposed to be cool. The top and bottom horizontal boundaries including the unheated region of the interior wall are claimed to be adiabatic. The finite difference approach is used to solve the non-dimensional governing equations. Various graphs have been utilized in the current study to describe the nature of the fluid flow, temperature, and concentration behaviours. The analysis reveals that the Marangoni number performs better with lower buoyancy ratio and lower Lewis number values. The Le and \(D_f\) are efficient in mass transport, while the \(\phi\) and \(S_r\) are efficient in energy transfer.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  • Alhashash, A., Saleh, H.: Combined solutal and thermal buoyancy thermocapillary convection in a square open cavity. Journal of Applied Fluid Mechanics 10, 1113–1124 (2017)

    Article  Google Scholar 

  • Arafune, K., Hirata, A.: Interactive solutal and thermal Marangoni convection in a rectangular open boat. Numerical Heat Transfer, Part A: Applications 34, 421–429 (1998)

    Article  Google Scholar 

  • Arafune, K., Yamamoto, K., Hirata, A.: Interactive thermal and solutal Marangoni convection during compound semiconductor growth in a rectangular open boat. Int. J. Heat Mass Transf. 44, 2405–2411 (2001)

    Article  Google Scholar 

  • Beckermann C, Viskanta R: Double-diffusive convection during dendritic solidification of a binary mixture (1988)

  • Béghein, C., Haghighat, F., Allard, F.: Numerical study of double-diffusive natural convection in a square cavity. Int. J. Heat Mass Transf. 35, 833–846 (1992)

    Article  Google Scholar 

  • Beji, P.H., Bennacer, R., Duval, R.: Double-diffusive natural convection in a vertical porous annulus. Numerical Heat Transfer, Part A: Applications 36, 153–170 (1999)

    Article  Google Scholar 

  • Benzema, M., Benkahla, Y.K., Labsi, N., Ouyahia, S.-E., El Ganaoui, M.: Second law analysis of MHD mixed convection heat transfer in a vented irregular cavity filled with Ag-MgO/water hybrid nanofluid. J. Therm. Anal. Calorim. 137, 1113–1132 (2019)

    Article  Google Scholar 

  • Bergman TL, Ungan A: Experimental and numerical investigation of double-diffusive convection induced by a discrete heat source. Int. J. Heat Mass Transf. 29(11), 1695–1709 (1986)

  • Chen, J.-C., Wu, C.-M., Li, Y.-R., Yu, J.-J.: Effect of capillary ratio on thermal-solutal capillary-buoyancy convection in a shallow annular pool with radial temperature and concentration gradients. Int. J. Heat Mass Transf. 109, 367–377 (2017)

    Article  Google Scholar 

  • De Vahl Davis, G.: Natural convection of air in a square cavity: A bench mark numerical solution. Int. J. Numer. Methods Fluids 3, 249–264 (1983)

    Article  Google Scholar 

  • Esfahani, J.A., Bordbar, V.: Double diffusive natural convection heat transfer enhancement in a square enclosure using nanofluids. Journal of Nanotechnology in Engineering and Medicine 2, 1–9 (2011)

    Article  Google Scholar 

  • Huppert, H.E., Turner, J.S.: Double-diffusive convection. J. Fluid Mech. 106, 299–329 (1981)

    Article  MathSciNet  Google Scholar 

  • Jue, T.-C.: Numerical analysis of thermosolutal Marangoni and natural convection flows. Numerical Heat Transfer, Part A: Applications 34, 633–652 (1998)

    Article  Google Scholar 

  • Jue, T.-C.: Combined thermosolutal buoyancy and surface-tension flows in a cavity. Heat Mass Transf. 35, 149–161 (1999)

    Article  Google Scholar 

  • Kefayati, G.: Simulation of double diffusive natural convection and entropy generation of power-law fluids in an inclined porous cavity with Soret and Dufour effects (Part II: Entropy generation). Int. J. Heat Mass Transf. 94, 582–624 (2016)

    Article  Google Scholar 

  • Mallikarjuna, B., Chamkha, A.J., Vijaya, R.B.: Soret and Dufour effects on double diffusive convective flow through a non-Darcy porous medium in a cylindrical annular region in the presence of heat sources. Journal of Porous Media 17(7), 623–636 (2014)

    Article  Google Scholar 

  • Sankar, M., Park, Y., Lopez, J.M., Do, Y.: Double-diffusive convection from a discrete heat and solute source in a vertical porous annulus. Transp. Porous Media 91, 753–775 (2012)

    Article  Google Scholar 

  • Sankar, M., Venkatachalappa, M., Do, Y.: Effect of magnetic field on the buoyancy and thermocapillary driven convection of an electrically conducting fluid in an annular enclosure. Int. J. Heat Fluid Flow 32(2), 402–412 (2011)

    Article  Google Scholar 

  • Sheikholeslami, M., Gorji-Bandpy, M., Ganji, D., Soleimani, S.: Effect of a magnetic field on natural convection in an inclined half-annulus enclosure filled with Cu-water nanofluid using CVFEM. Adv. Powder Technol. 24, 980–991 (2013)

    Article  Google Scholar 

  • Teamah, M.A.: Numerical simulation of double diffusive natural convection in rectangular enclosure in the presences of magnetic field and heat source. Int. J. Therm. Sci. 47, 237–248 (2008)

    Article  Google Scholar 

  • Teamah, M.A., Elsafty, A.F., Massoud, E.Z.: Numerical simulation of double-diffusive natural convective flow in an inclined rectangular enclosure in the presence of magnetic field and heat source. Int. J. Therm. Sci. 52, 161–175 (2012)

    Article  Google Scholar 

  • Tlili, I., Nabwey, H.A., Samrat, S.P., Sandeep, N.: 3D MHD nonlinear radiative flow of CuO-MgO/methanol hybrid nanofluid beyond an irregular dimension surface with slip effect. Sci. Rep. 10, 9181 (2020)

    Article  Google Scholar 

  • Wang, J., Yang, M., Zhang, Y.: Coupling-diffusive effects on thermosolutal buoyancy convection in a horizontal cavity. Numerical Heat Transfer, Part A: Applications 68, 583–597 (2015)

    Article  Google Scholar 

  • Wilkes, J.O., Churchill, S.W.: The finite-difference computation of natural convection in a rectangular enclosure. AIChE J. 12, 161–166 (1966)

    Article  Google Scholar 

  •  Zhan, J.-M., Chen, Z.-W., Li, Y.-S., Nie, Y.-H.: Three-dimensional double-diffusive Marangoni convection in a cubic cavity with horizontal temperature and concentration gradients. Physical Review E. 82, 066305, (2010)

  • Zhuang, Y., Zhu, Q.: Numerical study on combined buoyancy-Marangoni convection heat and mass transfer of power-law nanofluids in a cubic cavity filled with a heterogeneous porous medium. Int. J. Heat Fluid Flow 71, 39–54 (2018)

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the Department of Science and Technology, India, Women Scientist Scheme [Grant Number SR/WOS-A/PM-105/2017].

Author information

Authors and Affiliations

  1. Department of Mathematics, Bharathiar University, Coimbatore, 641 046, Tamilnadu, India

    B. Kanimozhi & M. Muthtamilselvan

  2. Department of Mathematical Sciences, United Arab Emirates University, P. O. Box 15551, Al Ain, Abu Dhabi, United Arab Emirates

    Qasem M. Al-Mdallal

  3. Department of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, 11586, Riyadh, Saudi Arabia

    Bahaaeldin Abdalla

Authors
  1. B. Kanimozhi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Muthtamilselvan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Qasem M. Al-Mdallal
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Bahaaeldin Abdalla
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Muthtamilselvan.

Ethics declarations

Conflicts of Interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kanimozhi, B., Muthtamilselvan, M., Al-Mdallal, Q.M. et al. Double-Diffusive Buoyancy and Marangoni Convection in a Hybrid Nanofluid Filled Cylindrical Porous Annulus. Microgravity Sci. Technol. 34, 17 (2022). https://doi.org/10.1007/s12217-022-09926-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12217-022-09926-7

Keywords

Search

Navigation